I'm not sure if you are asking for a schedule or homework help.
We've looked at how to avoid three-in-a-row at the end of the first half and start of the second. The only thing that seems to work is play the 2nd half in reverse order from the first with colors (i.e., home-away status) reversed.
5 or 6 players
Rd Pairings
1: 1-6 4-3 5-2
2: 6-4 2-1 3-5
3: 2-6 5-4 1-3
4: 6-5 3-2 4-1
5: 3-6 1-5 2-4
6: 6-3 5-1 4-2
7: 5-6 2-3 1-4
8: 6-2 4-5 3-1
9: 4-6 1-2 5-3
10: 6-1 3-4 2-5